 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2015/discrete-mathematics-continuous-mathematics-and-probability/1/a/i/solution

The set difference consists of elements belonging to the first set but not the second:

A ∖ B = {x \in U : x \in A and x \in / B} .

The symmetric difference consists of elements belonging to exactly one of the two sets:

A \oplus B = (A ∖ B) \cup (B ∖ A) .

In particular, the two sets in this union are disjoint sets.

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